Question

Triangle ABC is translated to create triangle DFG as shown in image

Answer 1

Answer:

x=3 and y=3

Step-by-step explanation:

explanation for x

using distributive property, 3(2x+10) should be 6x + 30 because you need to multiply both inside numbers by the outside number.

Next, you need to isolate the variable so the 12 is suptracted from thirty which leaves you 6x+18 and 12x. Since six is half of twelve, six is half of the other side, and then there is 18 which is the other six, so that means 6x=18, so simplifies, x=3 because 6×3=18

explanation for y

2(2y-3) using the distributive property, should be 4y-6. Take the 12 from 2y+12 and subtract six from it and you get 2y+6 and 4y. So, since 2y plus 6 equals 4y, 2y is half of 4y and then there is a plus six, which equals the other half, so 2y=6, and simplified, y=3